Formulas are useful to give us information we may not be able to know otherwise.
Example:
D = rt
where
D = distance
r = rate
t = time
The formula gives us the distance we have traveled accounting for rate and time.
Consider:
We travel 70mph for 7 hours, how far have we gone?
D = 70 * 7 = 490 miles!
Since we know how to simplify expressions and solve for variables we can use the formula to answer many questions.
Consider:
How fast would we have to go to travel 490 miles in 7 hours?
490 = r * 7
r = 490 / 7 = 70 mph
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